Application of Geometric Algebra to Generalized Hamiltonian (Birkhoffian) Mechanics | ||
| The International Conference on Mathematics and Engineering Physics | ||
| Article 4, Volume 5, International Conference on Mathematics and Engineering Physics (ICMEP-5), May 2010, Pages 1-9 PDF (184.47 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/icmep.2010.29772 | ||
| Author | ||
| E. T. Abou El Dahab | ||
| Abstract | ||
| Abstract The basic concepts of generalized Hamiltonian ( Birkhoffian ) mechanics are derived using Gemotric Algebra. Both Generalized Poisson bracket (GPB) and Generalized Lagrange bracket (GLB) are introduced. Similarly Generalized plus Poisson bracket (GPPB) and Generalized plus Lagrange bracket (GPLB) are derived which seems different from the forms by other authors. Differential constrains are derived, one of which resembles that of electromagnetic field strength. | ||
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